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Finding the Fourth Proportional to 353.45, 532.58 and 293.91

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Solution

The fourth proportional to 353.45, 532.58 and 293.91 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.45 : 532.58 = 293.91 : x
  2. Step 2: Convert to fraction form
    353.45/532.58 = 293.91/x
  3. Step 3: Cross multiply
    353.45x = 532.58 × 293.91
  4. Step 4: Simplify right side
    353.45x = 156,529.12
  5. Step 5: Solve for x
    x = 156,529.12/353.45
  6. Step 6: Final answer
    x = 442.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.